Let A = 0 1 2 a 0 3 1 c 0, where a, c ∈ ℝ. If A³ = A and the posi… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 11 April, Shift 1Algebra of Matrices

Let $A = \begin{bmatrix} 0 & 1 & 2 \\ a & 0 & 3 \\ 1 & c & 0 \end{bmatrix}$ , where $a, c \in \mathbb{R}$ . If $A^3 = A$ and the positive value of $a$ belongs to the interval $(n-1, n]$ , where $n \in \mathbb{N}$ , then $n$ is equal to:

A
$2$
B
$3$
C
$1$
D
$4$

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